World Space Ambient Occlusion
Well I assume you are already familiar with how cycles and Eevee rendering works. Like you said Eevee uses fake/cheat method. What you are asking for is achieve Cycles like AO which is physically accurate (depends on the values on a given scene). Currently there's no proven working method that achieves that, I can suggest you to bake the AO in Eevee like we bake in light from Cycles.